755440560 has 320 divisors, whose sum is σ = 3149798400. Its totient is φ = 162459648.

The previous prime is 755440549. The next prime is 755440561. The reversal of 755440560 is 65044557.

It is a happy number.

755440560 is a `hidden beast` number, since 7 + 5 + 54 + 40 + 560 = 666.

It is a super-2 number, since 2×755440560² = 1141380879386227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (755440561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255571 + ... + 258509.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2^755440560 is an apocalyptic number.

755440560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755440560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

755440560 is an abundant number, since it is smaller than the sum of its proper divisors (2394357840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

755440560 is a wasteful number, since it uses less digits than its factorization.

755440560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 755440560 is about 27485.2789689317. The cubic root of 755440560 is about 910.7519285281.

The spelling of 755440560 in words is "seven hundred fifty-five million, four hundred forty thousand, five hundred sixty".